Consider the following differential equation: (2+1)y() (2)+(3-2?)y"(z)+(4+2z)y'(z)+10y(x) = 4+12z+(4z-8) cos(2z)+(4x²-2) sin(2z) %3D satisfying y(r) 7, (n) 3 and y"(7) 0. Which of the following statements are true? %3D (A) y(0) = 0. (B) y() = . (C) y () = 1. (D) y'(1) = = T. (E) None of the above are true.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following differential equation:
(z+1)y(3) (z)+(3-2)y"(z)+(4+27)y/(z)+10y(x) = 4+12z+(4z-8r) cos(2z)+(4z-2) sin(2z)
satisfying y(7) = 7, y (T) 3 and y"(T) 0. Which of the following statements are true?
= T,
%3D
(A) y(0) = 0.
(B) y(플) %3D3.
(C) y(중) %3D 1.
(D) y'(1) = T.
(E) None of the above are true.
Transcribed Image Text:Consider the following differential equation: (z+1)y(3) (z)+(3-2)y"(z)+(4+27)y/(z)+10y(x) = 4+12z+(4z-8r) cos(2z)+(4z-2) sin(2z) satisfying y(7) = 7, y (T) 3 and y"(T) 0. Which of the following statements are true? = T, %3D (A) y(0) = 0. (B) y(플) %3D3. (C) y(중) %3D 1. (D) y'(1) = T. (E) None of the above are true.
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